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20000701440 = 210345291663
BaseRepresentation
bin10010101000001000…
…100111110000000000
31220121212211220110000
4102220020213300000
5311430134421230
613104352240000
71305431104626
oct225010476000
956555756400
1020000701440
118533969025
123a62240000
131b69891ca5
14d7a429516
157c0d58b60
hex4a8227c00

20000701440 has 440 divisors, whose sum is σ = 74187210240. Its totient is φ = 5146509312.

The previous prime is 20000701439. The next prime is 20000701517. The reversal of 20000701440 is 4410700002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12026049 + ... + 12027711.

It is an arithmetic number, because the mean of its divisors is an integer number (168607296).

Almost surely, 220000701440 is an apocalyptic number.

20000701440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20000701440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37093605120).

20000701440 is an abundant number, since it is smaller than the sum of its proper divisors (54186508800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20000701440 is a wasteful number, since it uses less digits than its factorization.

20000701440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The spelling of 20000701440 in words is "twenty billion, seven hundred one thousand, four hundred forty".